A chemist has a 100-gram sample of a radioactive material. He records the amount of radioactive material every week for 7 weeks and obtains the following data:

(a) Using a graphing utility, draw a scatter plot with week as the independent variable.

(b) Using a graphing utility, build an exponential model from the data.

(c) Express the function found in part (b) in the form A(t) = A₀e^kt.

(d) Graph the exponential function found in part (b) or (c) on the scatter plot.

(e) From the result found in part (b), determine the half-life of the radioactive material.

(f) How much radioactive material will be left after 50 weeks?

(g) When will there be 20 grams of radioactive material?

Transcribed Image Text:

AMER RAN UN NEDACTE URANIUM Week 0 1 GAWN. 2 3 4 5 6 Weight (in grams) 100.0 88.3 75.9 69.4 59.1 51.8 45.5